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Finding the Fourth Proportional to 938.06, 1,296.02 and 799.64

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Solution

The fourth proportional to 938.06, 1,296.02 and 799.64 is: 1,104.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.06 : 1,296.02 = 799.64 : x
  2. Step 2: Convert to fraction form
    938.06/1,296.02 = 799.64/x
  3. Step 3: Cross multiply
    938.06x = 1,296.02 × 799.64
  4. Step 4: Simplify right side
    938.06x = 1,036,344.95
  5. Step 5: Solve for x
    x = 1,036,344.95/938.06
  6. Step 6: Final answer
    x = 1,104.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.